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Finding the Fourth Proportional to 8,396.63, 11,587.54 and 4,620

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Solution

The fourth proportional to 8,396.63, 11,587.54 and 4,620 is: 6,375.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,396.63 : 11,587.54 = 4,620 : x
  2. Step 2: Convert to fraction form
    8,396.63/11,587.54 = 4,620/x
  3. Step 3: Cross multiply
    8,396.63x = 11,587.54 × 4,620
  4. Step 4: Simplify right side
    8,396.63x = 53,534,434.80
  5. Step 5: Solve for x
    x = 53,534,434.80/8,396.63
  6. Step 6: Final answer
    x = 6,375.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.